Im brand new to the forum and im hoping to get some valuable advice from everybody.

I have an alcove in my bathroom which currently has my bathroom sink in it, im planning to move the sink and install a shower cubicle. I am a total beginner to anything "building" wise but im confident with the right advice im more than capable of doing it. I have a series of questions that im gonna ask one at a time so i can be 100% sure im getting this correct the first time and that i dont floor my house.

The picture below shows the alcove where i want the shower, the water and waste pipes run into the wall and then along the wall to the bath. (marked in red)

I will be moving the sink to where the white cabinet is (the one with the green towells ontop).

Would i be able to use the existing pipes that the sink uses for the new shower, and then tap into the pipes to create supply to where im going to put the sink in its new position.

With my house being only 4 years old all the water pipes are plastic so are pretty simple to work with compared to other types (iv been told)